What is the simplified result of the expression 4(2x + 3) - 5x?

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Multiple Choice

What is the simplified result of the expression 4(2x + 3) - 5x?

Explanation:
To simplify the expression 4(2x + 3) - 5x, we start by applying the distributive property to the first part, which involves multiplying each term inside the parentheses by 4. 1. Distributing 4 gives: 4 * 2x = 8x 4 * 3 = 12 So, we can rewrite the expression as: 8x + 12 - 5x 2. Next, we combine like terms. We have 8x and -5x, which can be combined as follows: 8x - 5x = 3x 3. Finally, we bring down the constant term, which is 12. This gives us: 3x + 12 Thus, the simplified result of the expression is 3x + 12, confirming that this matches the correct answer choice. The other options do not represent the correct simplification of the given expression.

To simplify the expression 4(2x + 3) - 5x, we start by applying the distributive property to the first part, which involves multiplying each term inside the parentheses by 4.

  1. Distributing 4 gives:

4 * 2x = 8x

4 * 3 = 12

So, we can rewrite the expression as:

8x + 12 - 5x

  1. Next, we combine like terms. We have 8x and -5x, which can be combined as follows:

8x - 5x = 3x

  1. Finally, we bring down the constant term, which is 12. This gives us:

3x + 12

Thus, the simplified result of the expression is 3x + 12, confirming that this matches the correct answer choice. The other options do not represent the correct simplification of the given expression.

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